RIGHT DERIVATION OF ORDERED Γ-SEMIRINGS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 2
Abstract
In this paper, we introduce the concept of a right derivation of ordered Γ-semirings, we study some of the properties of right derivations of ordered Γ-semirings and we prove that if d is a non-zero right derivation of additively commutative cancellative prime ordered Γ-semring M then M is a commutative ordered Γ-semiring.
Authors and Affiliations
M. Murali Krishna Rao, B. Venkateswarlu
Keywords
Related Articles
- EP ID EP304527
- DOI -
- Views 20
- Downloads 0
CUBIC GENERALIZED BI-IDEALS IN SEMIGROUPS
In this paper, the concept of a cubic generalized bi-ideal in a semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal and interval-valued fuzzy generalized bi-ideal. Using this...
ON THE CONNECTIVITY OF THE ANNIHILATING-IDEAL GRAPHS
Let R be a commutative ring with identity and A∗(R) the set of nonzero ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A∗(R) and two distinct vertice...
A NOTE ON ADDITIVE GROUPS OF SOME SPECIFIC TORSION-FREE RINGS OF RANK THREE AND MIXED ASSOCIATIVE RINGS
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free A...
GRADED HILBERT-SYMBOL EQUIVALENCE OF NUMBER FIELDS
We present a new criterion for the existence of Hilbert-symbol equivalence of two number fields. In principle, we show that the system of local conditions for this equivalence may be expressed in terms of Clifford invari...
SUPERIOR SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS
The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.